Representations of additive categories and direct-sum decompositions of objects
Alberto Facchini
18E0516D70additive categoryKrull-Schmidt theoremcategorical equivalence
The aim of this paper is to embed additive categories in which direct-sum decompositions into indecomposables are not unique but have a regular geometric behavior into categories in which the Krull-Schmidt Theorem holds, that is, to give a representation of additive categories into categories with unique direct-sum decompositions into indecomposables. Cf. Theorems 4.8, 6.1, 6.2, 7.2, and 8.2.
Indiana University Mathematics Journal
2007
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10.1512/iumj.2007.56.2865
10.1512/iumj.2007.56.2865
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Indiana Univ. Math. J. 56 (2007) 659 - 680
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